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Finding the Fourth Proportional to 201,932.02, 278,502.60 and 177,680.62

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Solution

The fourth proportional to 201,932.02, 278,502.60 and 177,680.62 is: 245,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,932.02 : 278,502.60 = 177,680.62 : x
  2. Step 2: Convert to fraction form
    201,932.02/278,502.60 = 177,680.62/x
  3. Step 3: Cross multiply
    201,932.02x = 278,502.60 × 177,680.62
  4. Step 4: Simplify right side
    201,932.02x = 49,484,514,639.61
  5. Step 5: Solve for x
    x = 49,484,514,639.61/201,932.02
  6. Step 6: Final answer
    x = 245,055.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.